a. What is the monthly payment on a 30-year 7.5% (APR) fixed-rate mortgage loan of $1,000,000?

b. What is the remaining balance on the loan after 10 years? (recall: the remaining balance on the loan = present value of all remaining payments)

c. What is the market value of the loan after 10 years if interest rate rises to 9%?

d. Plot the fixed monthly payment as a function of the APR (ranging from 3% to 10% in intervals of 0.5%).